Geometry meaning of curvatures in Finsler geometry
Shen, Zhongmin
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Shen, Zhongmin
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Bácsó, Sándor, Papp, Ildikó (1995)
Mathematica Pannonica
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Kim, Chang-Wan (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Bing-Ye Wu (2014)
Annales Polonici Mathematici
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We consider the distance to compact submanifolds and study volume comparison for tubular neighborhoods of compact submanifolds. As applications, we obtain a lower bound for the length of a closed geodesic of a compact Finsler manifold. When the Finsler metric is reversible, we also provide a lower bound of the injectivity radius. Our results are Finsler versions of Heintze-Karcher's and Cheeger's results for Riemannian manifolds.
Bácsó, Sándor
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The author previously studied with and [Publ. Math. 42, 139-144 (1993; Zbl 0796.53022)] the diffeomorphisms between two Finsler spaces and which map the geodesics of to geodesics of (geodesic mappings).Now, he investigates the geodesic mappings between a Finsler space and a Riemannian space . The main result of this paper is as follows: if is of constant curvature and the mapping is a strongly geodesic mapping then or and .
Tayebi, Akbar, Peyghan, Esmaeil (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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